Algorithm for the cost edge-coloring of trees

Gyo Shu, Takao Nishizeki

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


Let C be a set of colors, and let ω be a cost function which assigns a real number ω(c) to each color c in C. An edge-coloring of a graph G is to color all the edges of C so that any two adjacent edges are colored with different colors. In this paper we give an efficient algorithm to find an optimal edge-coloring of a given tree T, that is, an edge-coloring f of T such that the sum of costs ω(f(e)) of colors f(e) assigned to all edges e is minimum among all edge-colorings of T. The algorithm takes time O(nΔ2) if n is the number of vertices and Δ is the maximum degree of T.

Original languageEnglish
Pages (from-to)97-108
Number of pages12
JournalJournal of Combinatorial Optimization
Issue number1
Publication statusPublished - 2004 Mar 1


  • Bipartite graph
  • Cost edge-coloring
  • Matching
  • Tree

ASJC Scopus subject areas

  • Computer Science Applications
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Theory and Mathematics
  • Applied Mathematics

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